The Dynamical Analysis Of Cournot Models

Based on Game theory and bifurcation theory of Dynamical system,the whole paper make deep analysis for behavior of Cournot models.The whole paper consists of four chapters.Chapter 1 is an introduction of the dissertation.The importance of the research of the bifurcation is introduction,the advances and actuality of the research are summarized,and the main contents of the dissertation are reported as well.Chapter 2 is the summary of bifurcation,first it is introduction the summary of bifurcation of the discrete system,Secondly,it deals with the codem-1 bifurcation theory,the conditions giving rise to the static bifurcation, including transcritical bifurcation,fold bifurcation,and pitch-fork bifurcation etc.are derived.The end is introduction the codem-2 bifurcation theory,including three strong resonance:1:2 resonance,1:3 resonance,and 1:4 resonance.Chapter 3 analyzes the dynamical of cournot models in detail,mainly about probability of bifurcations.Chapter 4 is the summary and conclusion of the dissertation.